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Finding the Fourth Proportional to 8,402.88, 12,597.12 and 3,212.48

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Solution

The fourth proportional to 8,402.88, 12,597.12 and 3,212.48 is: 4,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.88 : 12,597.12 = 3,212.48 : x
  2. Step 2: Convert to fraction form
    8,402.88/12,597.12 = 3,212.48/x
  3. Step 3: Cross multiply
    8,402.88x = 12,597.12 × 3,212.48
  4. Step 4: Simplify right side
    8,402.88x = 40,467,996.06
  5. Step 5: Solve for x
    x = 40,467,996.06/8,402.88
  6. Step 6: Final answer
    x = 4,815.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.